Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
578 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 578 conjugacy classes of subgroups — too many to draw. Only its 103 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #19139584 | C2 | semidirect |
| 3. #19133267 | C2 | semidirect |
| 5. #19132989 | C2 | semidirect |
| 6. #19132497 | C2 | semidirect |
| 242. C43 | #10243 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144063 | 2 |
| #19139584 | 2 |
| #19133267 | 2 |
| #19133090 | 2 |
| #19132989 | 2 |
| #19132497 | 2 |
| C43×#3226 | 2 |
| #10243 | 43 |